Stone game, C/C++ Programming

Assignment Help:
A game is played with three piles of stones and two players. At her turn, a player removes one or more stones from the piles. However, if she takes stones from more than one pile, she must remove the same number of stones from each of the selected piles.
In other words, the player chooses some N>0 and removes:
? N stones from any single pile; or ? N stones from each of any two piles (2N total); or ? N stones from each of the three piles (3N total).
The player taking the last stone(s) wins the game.
A winning configuration is one where the first player can force a win. For example, (0,0,13), (0,11,11) and (5,5,5) are winning configurations because the first player can immediately remove all stones.
A losing configuration is one where the second player can force a win, no matter what the first player does. For example, (0,1,2) and (1,3,3) are losing configurations: any legal move leaves a winning configuration for the second player. Consider all losing configurations (xi,yi,zi) where xi = yi = zi = 100. We can verify that S(xi+yi+zi) = 173895 for these.
Find S(xi+yi+zi) where (xi,yi,zi) ranges over the losing configurations with xi = yi = zi = 1000.

Related Discussions:- Stone game

Luminous jewels, Luminous Jewels - The Polishing Game Byteland county is v...

Luminous Jewels - The Polishing Game Byteland county is very famous for luminous jewels. Luminous jewels are used in making beautiful necklaces. A necklace consists of various lum

C program to find vowels and remove vowels , C Program to FIND VOWELS AND R...

C Program to FIND VOWELS AND REMOVE VOWELS void main() {           char s[100],s1[100];           int i,j,k=0;           clrscr();           printf("ENTER ANY S

C program for function of count the interest , C Program for FUNCTION OF CO...

C Program for FUNCTION OF COUNT THE INTEREST float si(float,float,float); void main() {           float p=0,r=0,n=0,k=0;           clrscr();           printf("E

Program to find whether a number is odd or even, PROGRAM TO FIND WHETHER A ...

PROGRAM TO FIND WHETHER A NUMBER IS ODD OR EVEN int main() { int number ; printf("Enter a whole number\n"); scanf("%d",&number); if(number % 2 == 0) printf("n

Bitwise operations, Bitwise Operations 1. Write a function that has an ...

Bitwise Operations 1. Write a function that has an int parameter n, makes an integer mask having the bit 1 at the nth place from the rightmost bit, and returns the mask. For ex

Stack over flow for sun sparc, Please use C or C++ to write your programs. ...

Please use C or C++ to write your programs. Our homework will focus on SUN sparc machines because to exploit x86 stack-overflow is too easy. This is not just a programming assignme

#CompilerRelated, #C Why don''t online compilers support the header file?...

#C Why don''t online compilers support the header file? What can I do to resolve this? PS. I have tried , does''nt work either. Thannk in advance.

Encryption/Decryption, I need to include files so you can understand easier...

I need to include files so you can understand easier.

Structures, how to define the structures

how to define the structures

Explain multidimensional arrays, Multidimensional Arrays - Every dimens...

Multidimensional Arrays - Every dimension is specified in separate brackets e.g. int arr[4][3]; This is a two-dimensional array with 4 as row dimension and 3 as

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd